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Finding the Fourth Proportional to 11,572, 17,358.81 and 4,646.50

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Solution

The fourth proportional to 11,572, 17,358.81 and 4,646.50 is: 6,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 17,358.81 = 4,646.50 : x
  2. Step 2: Convert to fraction form
    11,572/17,358.81 = 4,646.50/x
  3. Step 3: Cross multiply
    11,572x = 17,358.81 × 4,646.50
  4. Step 4: Simplify right side
    11,572x = 80,657,710.67
  5. Step 5: Solve for x
    x = 80,657,710.67/11,572
  6. Step 6: Final answer
    x = 6,970.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.